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Ch 21: Understanding Square Roots & Radical Expressions

About This Chapter

These lessons on understanding square roots and radical expressions can help you with a class project, homework assignment, or test preparation. You can review details about estimating square roots, simplifying expressions, and more from a mobile-friendly learning platform.

Understanding Square Roots & Radical Expressions - Chapter Summary

In this chapter on understanding square roots and radical expressions, brief lessons cover topics such as simplifying a square root when it isn't a perfect square. You can also learn about simplifying a radical expression with a radicand that's a perfect square. Upon completion of the chapter, you should be able to do the following:

  • Discuss finding the square root of a number
  • Provide an example of how to estimate square roots
  • Describe how to simplify square roots
  • Recall how to simplify expressions with square roots
  • Discuss simplifying a radical expression
  • Recount how square roots of quotients are simplified

Subject-matter experts present the information on square roots and radical expressions in a manner that ensures the material is easy to understand. A full written transcript accompanies each video in case you prefer text-based learning. A short quiz is available to test your knowledge of each lesson, and the quizzes can be printed as study worksheets.

6 Lessons in Chapter 21: Understanding Square Roots & Radical Expressions
Test your knowledge with a 30-question chapter practice test
How to Find the Square Root of a Number

1. How to Find the Square Root of a Number

What is a square root? In this lesson, we'll learn what a square root is and how to find it. We'll review a variety of examples in order to master the concept.

Estimating Square Roots

2. Estimating Square Roots

Inverse operations are mathematical operations that undo each other. The square root is the inverse of the squared (or multiplying a number by itself) operation. There is an easy method for estimating the square root of a number, which you will learn in this lesson.

Simplifying Square Roots When not a Perfect Square

3. Simplifying Square Roots When not a Perfect Square

Numbers that are imperfect squares are those that, when evaluated, do not give solutions that are integers. The proper mathematical way to simplify these imperfect squares is discussed in this lesson.

Simplifying Expressions Containing Square Roots

4. Simplifying Expressions Containing Square Roots

In order to write radical expressions correctly, they have to be written in their simplest form. This lesson will show you how to simplify expressions containing numbers and variables inside a square root.

Evaluating Square Roots of Perfect Squares

5. Evaluating Square Roots of Perfect Squares

Squares and square roots are inverse, or opposite, operations involving radicals. Learn how to determine the square root of perfect squares in this lesson.

Simplify Square Roots of Quotients

6. Simplify Square Roots of Quotients

The quotient rule can be used to simplify square roots of quotients. This lesson will define the quotient rule and show you how it is used to simplify square roots.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the MTLE Middle Level Mathematics: Practice & Study Guide course

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